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Finding the Fourth Proportional to 4,725.42, 6,521.08 and 2,601

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Solution

The fourth proportional to 4,725.42, 6,521.08 and 2,601 is: 3,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725.42 : 6,521.08 = 2,601 : x
  2. Step 2: Convert to fraction form
    4,725.42/6,521.08 = 2,601/x
  3. Step 3: Cross multiply
    4,725.42x = 6,521.08 × 2,601
  4. Step 4: Simplify right side
    4,725.42x = 16,961,329.08
  5. Step 5: Solve for x
    x = 16,961,329.08/4,725.42
  6. Step 6: Final answer
    x = 3,589.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.